But Wales Office Minister Alun Cairns said there could be different arrangements for different sets of MPs.

The Vale of Glamorgan MP said: "We are a family of nations and the model for Scotland isn't necessarily the right model for Wales.

"We don't have to be hamstrung by the model that is going to fit Scotland.

"Therefore the solution between the influence of MPs will be different, and that's the detail that needs to be worked through."

His Conservative colleague David Davies, MP for Monmouth, added his voice to the debate, telling BBC Wales on Saturday that it was "wrong and divisive" for Welsh and Scottish MPs to have the ability to vote on matters that only related to England.